\relax 
\ifx\hyper@anchor\@undefined
\global \let \oldcontentsline\contentsline
\gdef \contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global \let \oldnewlabel\newlabel
\gdef \newlabel#1#2{\newlabelxx{#1}#2}
\gdef \newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\let \contentsline\oldcontentsline
\let \newlabel\oldnewlabel}
\else
\global \let \hyper@last\relax 
\fi

\@writefile{toc}{\beamer@endinputifotherversion {3.10pt}}
\@writefile{nav}{\beamer@endinputifotherversion {3.10pt}}
\select@language{english}
\@writefile{toc}{\select@language{english}}
\@writefile{lof}{\select@language{english}}
\@writefile{lot}{\select@language{english}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {1}{1}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{2}{2/2}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {2}{2}}}
\@writefile{toc}{\beamer@sectionintoc {1}{Motivation}{3}{0}{1}}
\@writefile{nav}{\headcommand {\sectionentry {1}{Motivation}{3}{Motivation}{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{2}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{2}}}
\@writefile{toc}{\beamer@subsectionintoc {1}{1}{The Basic Problem That We Studied}{3}{0}{1}}
\@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{1}{1}{3}{The Basic Problem That We Studied}}\headcommand {\beamer@subsectionpages {3}{2}}}
\@writefile{nav}{\headcommand {\slideentry {1}{1}{1}{3/3}{The Basic Problem That We Studied}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {3}{3}}}
\@writefile{nav}{\headcommand {\slideentry {1}{1}{2}{4/4}{The Basic Problem That We Studied}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {4}{4}}}
\@writefile{nav}{\headcommand {\slideentry {1}{1}{3}{5/10}{The Basic Problem That We Studied}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {5}{10}}}
\@writefile{toc}{\beamer@subsectionintoc {1}{2}{Previous Work}{11}{0}{1}}
\@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{1}{2}{11}{Previous Work}}\headcommand {\beamer@subsectionpages {3}{10}}}
\@writefile{nav}{\headcommand {\slideentry {1}{2}{1}{11/11}{Previous Work}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {11}{11}}}
\@writefile{nav}{\headcommand {\slideentry {1}{2}{2}{12/12}{Previous Work}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {12}{12}}}
\@writefile{toc}{\beamer@sectionintoc {2}{Our Results/Contribution}{13}{0}{2}}
\@writefile{nav}{\headcommand {\sectionentry {2}{Our Results/Contribution}{13}{Our Results/Contribution}{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {3}{12}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {11}{12}}}
\@writefile{toc}{\beamer@subsectionintoc {2}{1}{Main Results}{13}{0}{2}}
\@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{2}{1}{13}{Main Results}}\headcommand {\beamer@subsectionpages {13}{12}}}
\@writefile{nav}{\headcommand {\slideentry {2}{1}{1}{13/13}{Main Results}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {13}{13}}}
\@writefile{nav}{\headcommand {\slideentry {2}{1}{2}{14/14}{Main Results}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {14}{14}}}
\@writefile{toc}{\beamer@subsectionintoc {2}{2}{Basic Ideas for Proofs/Implementation}{15}{0}{2}}
\@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{2}{2}{15}{Basic Ideas for Proofs/Implementation}}\headcommand {\beamer@subsectionpages {13}{14}}}
\@writefile{nav}{\headcommand {\slideentry {2}{2}{1}{15/15}{Basic Ideas for Proofs/Implementation}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {15}{15}}}
\@writefile{nav}{\headcommand {\slideentry {2}{2}{2}{16/16}{Basic Ideas for Proofs/Implementation}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {16}{16}}}
\@writefile{nav}{\headcommand {\sectionentry {3}{Summary}{17}{Summary}{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {13}{16}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {15}{16}}}
\@writefile{nav}{\headcommand {\slideentry {3}{0}{3}{17/17}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {17}{17}}}
\bibcite{Author1990}{\hyperlink {beamerbibAuthor1990}{1}}
\bibcite{Someone2000}{\hyperlink {beamerbibSomeone2000}{2}}
\@writefile{nav}{\headcommand {\partentry {Appendix}{1}}}
\@writefile{nav}{\headcommand {\beamer@partpages {1}{17}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {17}{17}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {17}{17}}}
\@writefile{nav}{\headcommand {\beamer@appendixpages {18}}}
\@writefile{nav}{\headcommand {\sectionentry {4}{Appendix}{18}{Appendix}{1}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {18}{17}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {18}{17}}}
\@writefile{nav}{\headcommand {\beamer@subsectionentry {1}{4}{1}{18}{For Further Reading}}\headcommand {\beamer@subsectionpages {18}{17}}}
\@writefile{nav}{\headcommand {\slideentry {4}{1}{1}{18/18}{For Further Reading}{1}}}
\@writefile{nav}{\headcommand {\beamer@framepages {18}{18}}}
\@writefile{nav}{\headcommand {\beamer@partpages {18}{18}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {18}{18}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {18}{18}}}
\@writefile{nav}{\headcommand {\beamer@documentpages {18}}}
\@writefile{nav}{\headcommand {\def \inserttotalframenumber {13}}}
